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106292400141 = 383426877109
BaseRepresentation
bin110001011111110000…
…1010101000000001101
3101011100200220101111210
41202333201111000031
53220141323301031
6120455143005033
710452011331264
oct1427741250015
9334320811453
10106292400141
114109531a4a4
1218725139779
13a03c345035
145204a255db
152b7187e746
hex18bf85500d

106292400141 has 8 divisors (see below), whose sum is σ = 143430708960. Its totient is φ = 70007845712.

The previous prime is 106292400139. The next prime is 106292400187. The reversal of 106292400141 is 141004292601.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 106292400141 - 21 = 106292400139 is a prime.

It is a super-2 number, since 2×1062924001412 (a number of 23 digits) contains 22 as substring.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 106292400099 and 106292400108.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106292400241) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 213438306 + ... + 213438803.

It is an arithmetic number, because the mean of its divisors is an integer number (17928838620).

Almost surely, 2106292400141 is an apocalyptic number.

It is an amenable number.

106292400141 is a deficient number, since it is larger than the sum of its proper divisors (37138308819).

106292400141 is an equidigital number, since it uses as much as digits as its factorization.

106292400141 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 426877195.

The product of its (nonzero) digits is 3456, while the sum is 30.

Adding to 106292400141 its reverse (141004292601), we get a palindrome (247296692742).

The spelling of 106292400141 in words is "one hundred six billion, two hundred ninety-two million, four hundred thousand, one hundred forty-one".

Divisors: 1 3 83 249 426877109 1280631327 35430800047 106292400141